Lynch Lowe
07/08/2023 · Middle School
Use synthetic division to find the result when \( 4 x^{4}+25 x^{3}+9 x^{2}+16 x-12 \) is divided by \( x+6 \)
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Step-by-step Solution
Use synthetic division to find the result of \( 4x^4 + 25x^3 + 9x^2 + 16x - 12 \) divided by \( x + 6 \).
Divide the polynomials by following steps:
- step0: Using Long Division to Divide Polynomials:
\(\left(4x^{4}+25x^{3}+9x^{2}+16x-12\right)\div \left(x+6\right)\)
- step1: Calculate:
\(\left(4x^{3}+x^{2}+3x-2\right)\text{ }\textrm{remainder}\text{ }0\)
The result of dividing \(4x^{4} + 25x^{3} + 9x^{2} + 16x - 12\) by \(x + 6\) using synthetic division is \(4x^{3} + x^{2} + 3x - 2\) with a remainder of 0.
Quick Answer
The result is \(4x^{3} + x^{2} + 3x - 2\).
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